Methods of treating metal carbonate salts

ABSTRACT

A method of treating a metal carbonate salt includes hydrolyzing a metal halide salt to form a hydrohalic acid and a hydroxide salt of the metal in the metal halide salt. The metal includes an alkaline earth metal or an alkali metal. The method includes reacting the hydrohalic acid with the metal carbonate salt, wherein the metal carbonate salt is a carbonate salt of the alkaline earth metal or alkali metal, to form CO2 and the metal halide salt. At least some of the metal halide salt formed from the reacting of the hydrohalic acid with the metal carbonate salt is recycled as at least some of the metal halide salt in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt.

CROSS-REFERENCE TO RELATED APPLICATION

This application is a continuation of U.S. patent application Ser. No. 17/651,520, filed Feb. 17, 2022, which claims the benefit of priority to U.S. Provisional Patent Application Ser. No. 63/200,390 filed Mar. 4, 2021, the disclosures of which are incorporated herein in their entirety by reference.

BACKGROUND

Despite the high regeneration energy requirements for hydroxide-based solvents like KOH, CO₂ direct air capture (DAC) systems based on it are being actively commercialized primarily because of the implementation advantages of solvents over DAC alternatives such as solid sorbents and CO₂ selective membranes. These latter alternatives can have lower specific energy requirements compared to calcination-based regeneration, but only solvent capture currently appears advanced enough to successfully address the engineering challenges associated with large-scale air contactor design and function.

Solvent DAC systems are built around simple liquid—gas contactors for CO₂ absorption and centralized facilities for solvent regeneration. These systems can be robust since the active material (e.g., the liquid capture solvent), can be continually reconditioned while circulating, without having to pause CO₂ capture for a regeneration cycle. Basic liquid—air contactor models exist in the form of cost-effective cooling towers that are already implemented at the scales being discussed for global DAC impact. Also, by centrally regenerating the CO₂-rich solvent instead of distributing that function throughout the air contactor, it is possible for solvent regeneration to take advantage of equipment economies of scale, in contrast to sorbents and membranes which scale linearly through the addition of multiple units.

The active DAC component of sorbent-based systems, in contrast, is generally immobile, and provisions for capture, regeneration, and CO₂ desorption must be incorporated into the air contactor itself. Therefore, the advantage of a sorbent system's lower regeneration temperature compared to a solvent would seem to be offset by the need to cyclically distribute low-grade thermal energy throughout a large air-contacting structure.

Membrane-based DAC has a similar area-related drawback in that the active element, i.e., the membrane, serves as the air contactor interface, and a driving pressure gradient (with one side likely under vacuum) must be maintained across the entire surface. Given the small CO₂ pressure gradient that is available in the atmosphere, leaks anywhere throughout the system greatly degrade DAC performance.

The world's oceans are estimated to have absorbed roughly one-third of the CO₂ added to the atmosphere from human activities, lowering its pH by 0.1 units in the process. This accumulation affects the health of the oceans since CO₂ acidification contributes to coral bleaching and it hinders the growth of shell-forming marine animals. As such, large-scale ocean CO₂ removal using lime addition has been identified as a potential tool to improve the health of the oceans and to also possibly assist with moderating atmospheric CO₂ levels. However, the concept was based on the one-time consumption of lime to sequester ocean CO₂ as limestone, CaCO₃, which would require a significant lime production source.

In another approach to ocean CO₂ removal, NaCl is electrochemically split to form HCl and NaOH, and the HCl is used to lower the pH of seawater, thereby converting bicarbonate and driving off CO₂ gas. The NaOH is used to return pH to a normal range. Although bipolar membrane electrodialysis (EDBM) had advantages for producing HCl and NaOH from NaCl regarding feed water purification compared to chlor-alkali electrolysis and has a lower theoretical minimum energy requirement, in terms relative to CO₂ removal, the energy consumption of state of the art EDBM is unacceptably high; the minimum energy requirement is 2.3 kWe/kg to produce weakly concentrated NaOH. Based on this value of electricity consumption and assuming a 1:1 molar utilization of NaOH to CO₂ gas, the EDBM approach to CO₂ removal would require at least +331 kJ/mol CO₂ of energy input; at $60/MWhe, the energy cost alone would exceed $114/ton CO₂. Improvements with or alternatives to NaCl salt-splitting technology are needed to achieve cost targets below $100/ton CO₂.

SUMMARY OF THE INVENTION

A method of treating a metal carbonate salt includes hydrolyzing a metal halide salt to form a hydrohalic acid and a hydroxide salt of the metal in the metal halide salt. The metal includes an alkaline earth metal or an alkali metal. The method also includes reacting the hydrohalic acid with the metal carbonate salt, wherein the metal carbonate salt is a carbonate salt of the alkaline earth metal or alkali metal, to form CO₂ and the metal halide salt. At least some of the metal halide salt formed from the reacting of the hydrohalic acid with the metal carbonate salt is recycled as at least some of the metal halide salt in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt.

A method of treating CaCO₃ includes hydrolyzing CaCl₂ to form HCl and Ca(OH)₂. The method also includes reacting the HCl with the CaCO₃, to form CO₂ and CaCl₂, wherein at least some of the CaCl₂ formed from the reacting of the HCl with the CaCO₃ is recycled as at least some of the CaCl₂ in the hydrolyzing of the CaCl₂ to form the HCl and the Ca(OH)₂.

A method of regenerating a used hydroxide-based CO₂-capture sorbent includes hydrolyzing a metal halide salt to form a hydrohalic acid and a hydroxide salt of the metal in the metal halide salt. The metal includes an alkaline earth metal or an alkali metal. The method includes reacting the used hydroxide-based CO₂-capture sorbent with the hydroxide salt, to form a carbonate salt of the metal in the metal halide salt. The method also includes reacting the hydrohalic acid with the carbonate salt, to form CO₂ and the metal halide salt. At least some of the metal halide salt formed from the reacting of the hydrohalic acid with the carbonate salt is recycled as at least some of the metal halide salt in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt.

A method of regenerating a used hydroxide-based CO₂-capture sorbent includes hydrolyzing CaCl₂ to form HCl and Ca(OH)₂. The method includes reacting the used hydroxide-based CO₂-capture sorbent with the Ca(OH)₂, to form CaCO₃. The method also includes reacting the HCl with the CaCO₃, to form CO₂ and CaCl₂. At least some of the CaCl₂ formed from the reacting of the HCl with the CaCO₃ is recycled as at least some of the CaCl₂ in the hydrolyzing of the CaCl₂ to form the HCl and the Ca(OH)₂.

A method of softening water includes hydrolyzing a metal halide salt to form a hydrohalic acid and a hydroxide salt of the metal in the metal halide salt. The metal includes an alkaline earth metal or an alkali metal. The method includes reacting a bicarbonate salt from a water source with the hydroxide salt, to form a carbonate salt of the metal in the metal halide salt. The method also includes reacting the hydrohalic acid with the carbonate salt, to form CO₂ and the metal halide salt. At least some of the metal halide salt formed from the reacting of the hydrohalic acid with the carbonate salt is recycled as at least some of the metal halide salt in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt.

A method of softening water includes hydrolyzing CaCl₂ to form HCl and Ca(OH)₂. The method includes reacting Ca(HCO₃)₂ from a water source with the Ca(OH)₂, to form CaCO₃. The method also includes reacting the HCl with the CaCO₃, to form CO₂ and CaCl₂). At least some of the CaCl₂) formed from the reacting of the HCl with the CaCO₃ is recycled as at least some of the CaCl₂) in the hydrolyzing of the CaCl₂) to form the HCl and the Ca(OH)₂.

Various aspects of the methods of the present invention have advantages over other methods. For example, various aspects of the method of treating a metal carbonate salt can be used as an alternative to the calcination of limestone for the production of hydrated lime. The formed hydrohalic acid can be used to decompose natural limestone, resulting in a metal halide salt solution that can be hydrolyzed to form hydrated lime. An advantage of this process compared to conventional limestone calcination is the use of less energy; brine hydrolysis could lower the heat source temperature from 900° C. to 400° C. or lower. Also, by incorporating the exothermic lime hydration reaction into the hydrolysis step (i.e., CaO to Ca(OH)₂), the minimum required thermal energy can be lowered by 28%, from 178 kJ/mol CaCO₃ for calcination to 128 kJ/mol CaCO₃ for the present invention. Additionally, the CO₂ released from limestone decomposition can be isolated (e.g., from flue gases) and readily captured for sequestration. The cement production industry can benefit from aspects of the method of treating a metal carbonate salt, as this energy-intensive industry struggles to efficiently decarbonize.

Hydroxide-based CO₂-capture sorbents such as KOH and NaOH have desirable properties when it comes to DAC; e.g., they can be used in large, scalable air contactors and can capture CO₂ continuously without pausing air flow for regeneration. However, a feature that makes these solvents attractive for DAC, their high affinity for CO₂, also makes them costly to regenerate, various aspects of the present invention address that deficiency. In particular, existing solvent regeneration schemes using Ca causticization use the direct calcination (thermal decomposition) of CaCO₃ to release the CO₂ product and regenerate the CaO capture material. This process occurs at high temperatures (900° C. or greater) and has a significant endothermic heat of reaction of approximately 178 kJ/mol CO₂. Various aspects of the present method that use hydrolyzed CaCl₂) salt as a reaction intermediary can lower the required temperature to below 500° C., which can expand the types of heat resources suitable for regeneration. In various aspects, by incorporating Ca(OH)₂ formation into the overall reaction, the theoretical input energy requirements can be decreased, such as brought down to approximately 113 kJ/mol CO₂, since the hydroxide formation is exothermic. Conventional calcination produces CaO solids that must be separately slaked with water to produce Ca(OH)₂. Low grade heat is released by lime slaking and can be recovered for drying, etc., but this energy cannot be used to offset the calciner's high temperature energy demands.

In various aspects, the method of regenerating a used CO₂-sorbent can require a lower amount of energy than other methods of regenerating used CO₂-sorbents, making direct air capture for removal of CO₂ a more viable carbon management tool. In various aspects, the method of regenerating a used CO₂-sorbent can expand the feasible use of hydroxide solvents such as KOH by reducing the temperature and quantity of regeneration energy. Hydroxide solvents have strong chemisorption capacity for CO₂, making them effective even with the low CO₂ partial pressure in the atmosphere, and have been the preferred choice for CO₂ DAC studies and pilot tests over amines that are considered the benchmark for postcombustion CO₂ capture. Regeneration energy has been the primary drawback of hydroxide solvents, and the lower-temperature, lower-energy regeneration methods of the present invention can make them a superior choice for DAC compared to materials that operate at higher CO₂ concentrations.

In various aspects, the method of the present invention of removing CO₂ from water can recycle the metal and halide constituents, as contrasted with an electrochemical NaCl-based process where the split NaOH and HCl constituents are released with the treated seawater and replacement NaCl brine must be reconcentrated. In various aspects, the brine hydrolysis of the present invention can be more robust (e.g., can be more tolerant of other dissolved species found in seawater) and lower cost to operate. Excessive energy consumption hinders ocean CO₂ removal by increasing operating costs and creating additional CO₂ emissions that need to be offset. The method of the present invention of removing CO₂ from water can provide a thermochemical cycle to achieve production of CO₂ from bicarbonate while enabling a lower cost of energy consumption compared to what is possible today, making the concept of ocean CO₂ removal a more feasible tool for carbon management. Compared to a NaCl-based process, the hydrolytic softening method described herein can be less disruptive to ocean life since it does not acidify the water which could harm sensitive organisms. As a result, the hydrolytic softening of the present invention can present a relatively lower environmental risk and should face fewer restrictions on its application.

In various aspects, methods of the present invention can use commodity materials, which can be an advantage over other methods that require proprietary, tailored materials that may introduce bottlenecks to future large-scale deployment.

BRIEF DESCRIPTION OF THE FIGURES

The drawings illustrate generally, by way of example, but not by way of limitation, various aspects of the present invention.

FIG. 1 illustrates a process comparison between calcination and brine hydrolysis regeneration, in accordance with various aspects.

FIG. 2 illustrates pressure versus concentration for CaCl₂ brine hydrolysis at 400° C., in accordance with various aspects.

FIG. 3 illustrates a direct air capture process, in accordance with various aspects.

FIG. 4 illustrates a process for ocean CO₂ removal using hydrolytic softening, in accordance with various aspects.

FIG. 5 illustrates a cross-section of a reactor for decomposition of CaCO₃, in accordance with various aspects.

FIG. 6 illustrates an apparatus for performing hydrolytic softening of water for carbon dioxide removal, in accordance with various aspects.

FIG. 7 illustrates an Arrhenius plot of CaCl₂ hydrolysis data, in accordance with various aspects.

FIG. 8 illustrates percentage removal of CO₂ from seawater having various pH levels, in accordance with various aspects.

FIG. 9 illustrates calculated saturation index values for CaCO₃ and Mg(OH)₂ in seawater as a function of pH adjustment, in accordance with various aspects.

FIG. 10 illustrates the ratio of Ca removed to Ca added as Ca(OH)₂ for seawater having various pH levels, illustrating the experimental recovery ratio of calcium from seawater, in accordance with various aspects.

FIG. 11 illustrates process flow values used for a techno-economic assessment, in accordance with various aspects.

DETAILED DESCRIPTION OF THE INVENTION

Reference will now be made in detail to certain aspects of the disclosed subject matter. While the disclosed subject matter will be described in conjunction with the enumerated claims, it will be understood that the exemplified subject matter is not intended to limit the claims to the disclosed subject matter.

Throughout this document, values expressed in a range format should be interpreted in a flexible manner to include not only the numerical values explicitly recited as the limits of the range, but also to include all the individual numerical values or sub-ranges encompassed within that range as if each numerical value and sub-range is explicitly recited. For example, a range of “about 0.1% to about 5%” or “about 0.1% to 5%” should be interpreted to include not just about 0.1% to about 5%, but also the individual values (e.g., 1%, 2%, 3%, and 4%) and the sub-ranges (e.g., 0.1% to 0.5%, 1.1% to 2.2%, 3.3% to 4.4%) within the indicated range. The statement “about X to Y” has the same meaning as “about X to about Y,” unless indicated otherwise. Likewise, the statement “about X, Y, or about Z” has the same meaning as “about X, about Y, or about Z,” unless indicated otherwise.

In this document, the terms “a,” “an,” or “the” are used to include one or more than one unless the context clearly dictates otherwise. The term “or” is used to refer to a nonexclusive “or” unless otherwise indicated. The statement “at least one of A and B” or “at least one of A or B” has the same meaning as “A, B, or A and B.” In addition, it is to be understood that the phraseology or terminology employed herein, and not otherwise defined, is for the purpose of description only and not of limitation. Any use of section headings is intended to aid reading of the document and is not to be interpreted as limiting; information that is relevant to a section heading may occur within or outside of that particular section.

In the methods described herein, the acts can be carried out in any order without departing from the principles of the invention, except when a temporal or operational sequence is explicitly recited. Furthermore, specified acts can be carried out concurrently unless explicit claim language recites that they be carried out separately. For example, a claimed act of doing X and a claimed act of doing Y can be conducted simultaneously within a single operation, and the resulting process will fall within the literal scope of the claimed process.

The term “about” as used herein can allow for a degree of variability in a value or range, for example, within 10%, within 5%, or within 1% of a stated value or of a stated limit of a range, and includes the exact stated value or range.

The term “substantially” as used herein refers to a majority of, or mostly, as in at least about 50%, 60%, 70%, 80%, 90%, 95%, 96%, 97%, 98%, 99%, 99.5%, 99.9%, 99.99%, or at least about 99.999% or more, or 100%. The term “substantially free of” as used herein can mean having none or having a trivial amount of, such that the amount of material present does not affect the material properties of the composition including the material, such that about 0 wt % to about 5 wt % of the composition is the material, or about 0 wt % to about 1 wt %, or about 5 wt % or less, or less than, equal to, or greater than about 4.5 wt %, 4, 3.5, 3, 2.5, 2, 1.5, 1, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, 0.01, or about 0.001 wt % or less, or about 0 wt %.

Method of Treating a Metal Carbonate Salt.

Various aspects of the present invention provide a method of treating a metal carbonate salt. The method can include hydrolyzing a metal halide salt to form a hydrohalic acid and a hydroxide salt of the metal in the metal halide salt. The metal can include an alkaline earth metal or an alkali metal. The method can include reacting the hydrohalic acid with the metal carbonate salt, wherein the metal carbonate salt is a carbonate salt of the alkaline earth metal or alkali metal, to form CO₂ and the metal halide salt. At least some of the metal halide salt formed from the reacting of the hydrohalic acid with the metal carbonate salt can be recycled as at least some of the metal halide salt in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt.

The metal carbonate salt can be any suitable metal carbonate salt. In some examples, the metal carbonate salt is BeCO₃, MgCO₃, CaCO₃, SrCO₃, BaCO₃, RaCO₃, Li2CO₃, Na₂CO₃, K₂CO₃, Rb₂CO₃, Cs₂CO₃, Fr₂CO₃, or a combination thereof. The metal carbonate salt can be CaCO₃, MgCO₃, or a combination thereof. The metal carbonate salt can be CaCO₃.

The metal carbonate salt can be from any suitable source, such as from a sorbent, a water source (e.g., salt water or fresh water), or a combination thereof. The metal carbonate salt can be CaCO₃ and the CaCO₃ can be produced from a CO₂-capture sorbent, is a CaCO₃ precipitate formed from water softening, is natural limestone (e.g., as used in the cement industry, or another industry), or a combination thereof.

The method can include hydrolyzing a metal halide salt to form a hydrohalic acid and a hydroxide salt of the metal in the metal halide salt. The metal can include an alkaline earth metal or an alkali metal, such as beryllium, magnesium, calcium, strontium, barium, radium, lithium, sodium, potassium, rubidium, cesium, francium, or a combination thereof. The alkaline earth metal or alkali metal can be magnesium, calcium, or a combination thereof. The alkaline earth metal or alkali metal can be calcium.

The metal halide salt can be beryllium halide salt, a magnesium halide salt, a calcium halide salt, a strontium halide salt, a barium halide salt, a radium halide salt, a lithium halide salt, a sodium halide salt, a potassium halide salt, a rubidium halide salt, a cesium halide salt, a francium halide salt, or a combination thereof. The halide can be chloride and the metal halide salt can be beryllium chloride, magnesium chloride, calcium chloride, strontium chloride, barium chloride, radium chloride, lithium chloride, sodium chloride, potassium chloride, rubidium chloride, cesium chloride, francium chloride, or a combination thereof. The metal halide salt can be CaCl₂), MgCl₂, or a combination thereof. The metal halide salt can be CaCl₂). The hydrohalic acid can be HCl, HBr, HI, HF, or a combination thereof. The hydrohalic acid can be HCl. The hydroxide salt can be Be(OH)₂, Mg(OH)₂, Ca(OH)₂, Sr(OH)₂, Ba(OH)₂, Ra(OH)₂, LiOH, NaOH, KOH, RbOH, CsOH, FrOH, or a combination thereof. The hydroxide salt can be Ca(OH)₂, Mg(OH)₂, or a combination thereof. The hydroxide salt can be Ca(OH)₂.

In some aspects, the metal carbonate salt is CaCO₃, the alkaline earth metal or alkali metal is calcium, the metal halide salt is CaCl₂), the hydrohalic acid is HCl, and the hydroxide salt is Ca(OH)₂.

The hydrolyzing of the metal halide salt can be performed under any suitable conditions. The hydrolyzing of the metal halide salt can be performed at any suitable pressure, such as at a pressure of 0.1 MPa-100 MPa, or 0.1 MPa to 9 MPa, or 1 MPa to 9 MPa, or 3 MPa to 9 MPa, or 5 MPa to 7 MPa, or less than, equal to, or greater than 0.1 MPa, 0.5, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 25, 30, 40, 50, 60, 70, 80, 90, or 100 MPa. The hydrolyzing of the metal halide salt can be performed at any suitable temperature, such as a temperature of room temperature to 1000° C., or room temperature to 500° C., or 300° C. to 500° C., or 350° C. to 450° C., or less than, equal to, or greater than room temperature (e.g., about 20° C.), 25, 30, 35, 40, 45, 50, 60, 80, 100, 125, 150, 175, 200, 225, 250, 275, 300, 320, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 480, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, or 1000° C.

The hydrolyzing of the metal halide salt (i.e., in water) produces the hydrohalic acid. The hydrohalic acid can be produced in a phase that is distinct from the brine solution that includes the water and the metal halide salt. The acid/water phase can be a vaporous phase, a supercritical water phase, a gaseous phase, or a combination thereof, depending on the hydrolysis conditions used to form the hydrohalic acid. The hydrolyzing of the metal halide salt can produce the hydrohalic acid at any suitable concentration (e.g., in the distinct acid/water phase), such as at a molar content of 0.01% to 10%, or a molar content of 0.1% to 1%, or less than, equal to, or greater than 0.01%, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.8, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6, 6.5, 7, 7.5, 8, 8.5, 9, 9.5, or 10% molar content.

The reacting of the hydrohalic acid with the metal carbonate salt can be performed under any suitable conditions. The reacting of the hydrohalic acid with the metal carbonate salt can be performed in the same reactor with, and using the same conditions as, the hydrolysis of the metal halide salt to form the hydrohalic acid (e.g., a heated and pressurized reactor). The reacting of the hydrohalic acid with the metal carbonate salt can be performed in a separate reactor from the reacting of the hydrolysis of the metal halide salt to form the hydrohalic acid, such as by removing the hydrohalic acid from the reactor, cooling the hydrohalic acid, and performing the reacting of the hydrohalic acid with the metal carbonate salt under different conditions, such as room temperature/pressure conditions. The reacting of the hydrohalic acid with the metal carbonate salt can be performed at a pressure of 0.1 MPa-100 MPa, or 0.1 MPa to 9 MPa, or 1 MPa to 9 MPa, or 3 MPa to 9 MPa, or 5 MPa to 7 MPa, or less than, equal to, or greater than 0.1 MPa, 0.5, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 25, 30, 40, 50, 60, 70, 80, 90, or 100 MPa. The reacting of the hydrohalic acid with the metal carbonate salt can be performed at a temperature of room temperature to 1000° C., or room temperature to 500° C., or 300° C. to 500° C., or 350° C. to 450° C., or less than, equal to, or greater than room temperature (e.g., about 20° C.), 25, 30, 35, 40, 45, 50, 60, 80, 100, 125, 150, 175, 200, 225, 250, 275, 300, 320, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 480, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, or 1000° C.

At least some of the metal halide salt formed from the reacting of the hydrohalic acid with the metal carbonate salt can be recycled as at least some of the metal halide salt in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt. The metal halide salt formed from the reacting of the hydrohalic acid with the metal carbonate salt can be any suitable proportion of the metal halide salt used in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt. For example, the metal halide salt formed from the reacting of the hydrohalic acid with the metal carbonate salt is 0.001 wt % to 100 wt % of the metal halide salt used in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt, or 80 wt % to 100 wt %, or less than, equal to, or greater than 0.001 wt %, 0.01, 0.1, 1, 2, 3, 4, 5, 6, 8, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 99.9, 99.99, or 99.999 wt %, or 100 wt %.

Various aspects provide a method of treating CaCO₃. The method can include hydrolyzing CaCl₂ to form HCl and Ca(OH)₂. The method can include reacting the HCl with the CaCO₃, to form CO₂ and CaCl₂, wherein at least some of the CaCl₂ formed from the reacting of the HCl with the CaCO₃ is recycled as at least some of the CaCl₂ in the hydrolyzing of the CaCl₂ to form the HCl and the Ca(OH)₂. The method can further include reacting a used CO₂-capture sorbent with the Ca(OH)₂, to form the CaCO₃, wherein at least some of the Ca(OH)₂ formed in the hydrolysis of the CaCl₂ to form the HCl and the Ca(OH)₂ is recycled as at least some of the Ca(OH)₂ used in the reacting of the used CO₂-capture sorbent with the Ca(OH)₂. The method can further include reacting Ca(HCO₃)₂ from a water source with the Ca(OH)₂, to form the CaCO₃, wherein at least some of the Ca(OH)₂ formed in the hydrolysis of the CaCl₂ to form the HCl and the Ca(OH)₂ is recycled as at least some of the Ca(OH)₂ used in the reacting of the Ca(HCO₃)₂ with the Ca(OH)₂.

The method of treating the metal carbonate salt can be used to regenerate hydrated lime (Ca(OH)₂), such as from the precipitates produced during lime softening of water. Lime softening is a common treatment for municipal and industrial water supplies.

The method of treating the metal carbonate salt can be used to produce hydrated lime or dolomitic lime (e.g., a mixture of Ca(OH)₂ and Mg(OH)₂). This process is already performed at large scale using calcination to produce lime for cement, steelmaking, food processing, and many other industries.

The method of treating the metal carbonate sale can be used to process a source of CaCO₃ to convert it into a Ca(OH)₂ product.

Method of Regenerating a CO₂-Capture Sorbent.

The method of treating the metal carbonate salt can be used to remove CO₂ from a used CO₂-capture sorbent (e.g., a CO₂-capture sorbent for air). The method can include reacting a used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt that is a carbonate salt of the metal in the metal halide salt. The used CO₂-capture sorbent can be any suitable used CO₂-capture sorbent, such as formed from contacting CO₂ with any suitable CO₂-capture sorbent. The used CO₂-capture sorbent can be a used hydroxide-based, ammonia-based, and/or amine-based CO₂-capture sorbent. In some examples, the used ammonia-based and/or amine-based CO₂-capture sorbent can include an ammonium carbamate, an ammonium carbonate, an ammonium bicarbonate, or a combination thereof. The used CO₂-capture sorbent can be derived from sorption of CO₂ by a hydroxide-based, ammonia-based (e.g., aqueous ammonia and/or ammonium bicarbonate), and/or amine-based CO₂-capture sorbent (e.g., monoethanolamine, diethanolamine, 2-amino-2-methyl-1-propanol, methyl diethanolamine, piperazine). The CO₂-capture sorbent can be a used hydroxide-based CO₂-capture sorbent, such as Ca(HCO₃)₂ (derived from Ca(OH)₂), Mg(HCO₃)₂ (derived from Mg(OH)₂), K₂CO₃ (derived from KOH), Na₂CO₃ (derived from NaOH), or a combination thereof.

The reacting of the used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt can be performed under any suitable conditions. The reacting of the used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt can be performed at a pressure of 0.01 MPa to 10 MPa, 0.05 MPa to 0.2 MPa, or less than, equal to, or greater than 0.01 MPa, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.25, 0.3, 0.4, 0.5, 0.6, 0.8, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 6, 7, 8, 9, or 10 MPa. The reacting of the used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt is performed at a temperature of room temperature to 350° C., or 50° C. to 150° C., or 90° C. to 110° C., or less than, equal to, or greater than room temperature 25, 30, 35, 40, 45, 50, 60, 70, 80, 85, 90, 95, 100, 105, 110, 115, 120, 120, 125, 150, 175, 200, 225, 250, 275, 300, 320, 340, or 350° C.

The method can include contacting a CO₂-capture sorbent with CO₂ to form the used CO₂-capture sorbent. In other aspects, the CO₂-capture sorbent is contacted with CO₂ to form the used CO₂-capture sorbent prior to the onset of the method. The method can include Ca(OH)₂, Mg(OH)₂, KOH, and/or NaOH with CO₂ to form the used CO₂-capture sorbent.

The reacting of the used CO₂-capture sorbent with the hydroxide salt to form the metal carbonate salt can also form an unused CO₂-capture sorbent, e.g., to regenerate the used CO₂-capture sorbent. The unused CO₂-capture sorbent can be Ca(OH)₂, Mg(OH)₂, KOH, and/or NaOH. The unused CO₂-capture sorbent can be KOH and/or NaOH. The method can further include providing the unused CO₂-capture sorbent for CO₂ capture. The method can further include contacting the regenerated CO₂-capture sorbent with CO₂ to form a used CO₂-capture sorbent, which can then again be regenerated using the method treating the metal carbonate salt.

In some aspects, none of the hydroxide salt formed in the hydrolysis of the metal halide salt to form the hydrohalic acid and the hydroxide salt is recycled as the hydroxide salt used in the reacting of the used CO₂-capture sorbent with the hydroxide salt. In other aspects, at least some of the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt to form the hydrohalic acid and the hydroxide salt can be recycled as at least some of the hydroxide salt used in the reacting of the used CO₂-capture sorbent with the hydroxide salt. For example, the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt can be 0.001 wt % to 100 wt % of the hydroxide salt used in the reacting of the used CO₂-capture sorbent with the hydroxide salt, or 80 wt % to 100 wt %, or less than, equal to, or greater than 0.001 wt %, 0.01, 0.1, 1, 2, 3, 4, 5, 6, 8, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 99.9, 99.99, or 99.999 wt %, or 100 wt %.

The method of regenerating a used CO₂-capture sorbent can include hydrolyzing a metal halide salt to form a hydrohalic acid and a hydroxide salt of the metal in the metal halide salt, the metal including an alkaline earth metal or an alkali metal. The method can include reacting the used CO₂-capture sorbent with the hydroxide salt, to form a carbonate salt of the metal in the metal halide salt. The method can also include reacting the hydrohalic acid with the carbonate salt, to form CO₂ and the metal halide salt, wherein at least some of the metal halide salt formed from the reacting of the hydrohalic acid with the carbonate salt is recycled as at least some of the metal halide salt in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt.

The method of regenerating a used CO₂-capture sorbent can include hydrolyzing CaCl₂ to form HCl and Ca(OH)₂. The method can include reacting the used CO₂-capture sorbent with the Ca(OH)₂, to form CaCO₃. The method can also include reacting the HCl with the CaCO₃, to form CO₂ and CaCl₂, wherein at least some of the CaCl₂ formed from the reacting of the HCl with the CaCO₃ is recycled as at least some of the CaCl₂ in the hydrolyzing of the CaCl₂ to form the HCl and the Ca(OH)₂.

The method of regenerating a used CO₂-capture sorbent can provide a lower-temperature and lower-energy alternative to high-temperature calcination for hydroxide-based CO₂ DAC solvents. Solvents like KOH and NaOH have high affinity for CO₂, even at low partial pressure, and offer design advantages for the massive air contactors required for large-scale CO₂ removal from the atmosphere. For instance, being liquid, these capture solvents can be circulated over a variety of air contactor geometries while being regenerated at a central location, thereby using the full system capacity for continuous CO₂ capture. However, regeneration of these solvents requires decomposition of a carbonate (commonly CaCO₃) which is an energy-intensive, high-temperature (900° C.) process using existing calcination techniques. This energy requirement is a significant drawback for hydroxide solvents since it results in additional emissions that must be offset by DAC system capacity to produce a net CO₂ reduction. Instead of high-temperature calcination, the present method of regenerating a CO₂-capture sorbent can decompose carbonates using a regenerable acid produced from the hydrolysis of a chloride-based regeneration solution. A comparison of the process using CaCl₂) brine to calcination regeneration is shown in FIG. 1 .

The process of brine hydrolysis regeneration in FIG. 1 can integrate with DAC systems by using hydrochloric acid (HCl) to decompose carbonates, thus releasing captured CO₂ and recovering the precipitated hydroxide (e.g., Ca[OH]2) to regenerate soluble hydroxide solvents such as KOH and NaOH. Hydrolysis can occur at significantly lower temperatures than calcination (e.g., 400° versus 900° C.), and it can offer a feasible way to recycle thermal energy released from Ca(OH)₂ formation, thus lowering the quantity of input thermal energy. Chloride compounds in the regeneration solution are not consumed and can be continually recycled.

Brine hydrolysis can be the source of HCl used for carbonate decomposition, and it has been observed experimentally. A plot of pressure versus concentration for CaCl₂) brine is shown in FIG. 2 , which is a plot of phase composition data for CaCl₂) brine near its critical point (see, Bischoff, J.; Rosenbauer, R.; Fournier, R. The Generation of HCl in the System CaCl₂—H₂O: Vapor—Liquid Relations from 380°−500° C. Geochimica et Cosmochimica Acta 1996, 60 (1), 7-16). As the data show, HCl is produced in significant amounts during the dynamic equilibrium above CaCl₂) brine held at a moderate temperature of 400° C. The hydrolysis data shown in FIG. 2 also result in corresponding Ca(OH)₂ left behind in the brine, some of which precipitates because of its decreasing solubility with temperature. The hydrolysis data highlighted in FIG. 2 evaluated conditions over the temperature range of 380° to 500° C. but was a study of equilibrium conditions and, by definition, did not consider the kinetics of CaCl₂ hydrolysis.

Referring to the brine hydrolysis regeneration process in FIG. 1 , the hydrolysis reactor contains a concentrated solution of CaCl₂ and H₂O with an acid/water phase above it. The acid/water phase can include H₂O with a fraction of HCl produced as a result of brine hydrolysis; the exact amount of HCl depends on the temperature, pressure, and brine composition within the reactor. The other component from CaCl₂ hydrolysis, Ca(OH)₂, can remain in the brine and can precipitate because of its decreasing solubility with temperature. At equilibrium, the amount of CaCl₂ hydrolysis can be stable, but in the brine hydrolysis regeneration scheme, HCl-containing vapor can be reacted with CaCO₃ from causticization of a DAC solvent. This HCl consumption along with Ca(OH)₂ precipitation can shift the reaction toward continued hydrolysis. The decomposition of CaCO₃ can release a stream of captured CO₂ and can reproduce the CaCl₂ salt to complete the cycle.

Some indication of the minimum theoretical energy requirements can be gained by considering their standard heat of reaction. Table 1 compares the reaction energies for brine hydrolysis regeneration and the existing method using calcination and lime slaking; these pathways correspond to the alternatives shown in FIG. 1 . Summing the reaction energies for both pathways gives the same net endothermic energy of +113 kJ/mol CO₂, which is a thermodynamic necessity since all inputs and outputs at the process boundary are assumed to be identical. In practice, however, recovering energy between process steps is not always feasible. For instance, lime slaking is significantly exothermic, but the reaction does not proceed in the forward direction at the temperature needed for calcination (900° C.), and as a result, heat from this reaction cannot be used to offset the calcination energy requirement of +178 kJ/mol CO₂ (without the input of additional work).

TABLE 1 Comparison of Regeneration Pathway Energies. Existing Calcination Regeneration Brine Hydrolysis Regeneration Reaction Heat of Reaction Reaction Heat of Reaction Carbonate Calcination +178 kJ/mol CO₂ Carbonate Decomposition  −15 kJ/mol CO₂ CaCO₃ → CaO + CO₂ CaCO₃ + 2HCl → CaCl₂ + CO₂ + H₂O Lime Slaking  −65 kJ/mol CO₂ Brine Hydrolysis +128 kJ/mol CO₂ CaO + H₂O → Ca(OH)₂ CaCl₂ + 2H₂O → 2HCl + Ca(OH)₂

In contrast to calcination regeneration, the reactions including brine hydrolysis regeneration in Table 1 can both proceed under the same conditions of temperature and pressure, and as a result, it is theoretically possible to reduce the regeneration energy requirement from +178 kJ/mol CO₂ to +113 kJ/mol CO₂. Even if the steps of carbonate decomposition and brine hydrolysis are not combined in the same reactor, the full energy required by brine hydrolysis alone is still a significant savings compared to calcination (+128 kJ/mol CO₂ versus+178 kJ/mol CO₂) and occurs at a much lower temperature (400° C. versus 900° C.).

FIG. 3 presents a KOH solvent capture process using Ca causticization, a DAC process suitable for large-scale application. In the system, a KOH solvent contacts air and absorbs CO₂. Spent CO₂-rich solvent is then causticized using Ca(OH)₂ where the captured CO₂ is transferred from the solvent to an insoluble carbonate, CaCO₃ in this case. Causticization is mildly exothermic, but its primary utility is to transfer CO₂ from the liquid solution to a solid, thereby reducing sensible energy consumption during regeneration. At this point in the process, precipitated CaCO₃ can enter the brine hydrolysis regeneration stage where it is decomposed using HCl to release the captured CO₂. The resulting CaCl₂ salt reforms the brine used for HCl and Ca(OH)₂ generation.

Nominal conditions within the brine hydrolysis process have been estimated at 400° C. and 6 MPa based on the experimental data shown in FIG. 2 .

While hydroxide-based solvents such as KOH and NaOH have desirable capture and engineering properties, their high regeneration energy requirements (greater than 178 kJ/mol CO₂ at 900° C.) necessitates the development of improved alternatives. The method of the present invention provides a practical means to approach the theoretical limit of regeneration energy (113 kJ/mol CO₂) at a significantly lower temperature (400° C.), thereby providing improved CO₂ separation performance over the options available today.

Method of Removing CO₂ from Water.

The method of treating the metal carbonate salt can be used to remove CO₂ from water. For example, the method can further include reacting a bicarbonate salt such as NaHCO₃, Mg(HCO₃)₂, Ca(HCO₃)₂, KHCO₃, or a combination thereof, taken from any suitable water source, with the hydroxide salt to provide the metal carbonate salt that is a carbonate salt of the metal in the metal halide salt. The method can be a method of softening water. The water source can be a natural water source, such as salt water, ocean water, brackish water, fresh water, a stream, a pond, a lake, a river, or a combination thereof. The bicarbonate salt can be Ca(HCO₃)₂.

In some aspects, none of the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt to form the hydrohalic acid and the hydroxide salt is recycled as at least some of the hydroxide salt used in the reacting of the bicarbonate salt with the hydroxide salt. In other aspects, at least some of the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt to form the hydrohalic acid and the hydroxide salt is recycled as at least some of the hydroxide salt used in the reacting of the bicarbonate salt with the hydroxide salt. For example, the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt is 0.001 wt % to 100 wt % of the hydroxide salt used in the reacting of the bicarbonate salt with the hydroxide salt, or 80 wt % to 100 wt %, or less than, equal to, or greater than 0.001 wt %, 0.01, 0.1, 1, 2, 3, 4, 5, 6, 8, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 99.9, 99.99, or 99.999 wt %, or 100 wt %.

The method of removing CO₂ from water can include hydrolyzing a metal halide salt to form a hydrohalic acid and a hydroxide salt of the metal in the metal halide salt, the metal including an alkaline earth metal or an alkali metal. The method can include reacting a bicarbonate salt from a water source with the hydroxide salt, to form a carbonate salt of the metal in the metal halide salt. The method can also include reacting the hydrohalic acid with the carbonate salt, to form CO₂ and the metal halide salt, wherein at least some of the metal halide salt formed from the reacting of the hydrohalic acid with the carbonate salt is recycled as at least some of the metal halide salt in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt.

The method of removing CO₂ from water can include hydrolyzing CaCl₂ to form HCl and Ca(OH)₂. The method can include reacting Ca(HCO₃)₂ from a water source with the Ca(OH)₂, to form CaCO₃. The method can include reacting the HCl with the CaCO₃, to form CO₂ and CaCl₂, wherein at least some of the CaCl₂ formed from the reacting of the HCl with the CaCO₃ is recycled as at least some of the CaCl₂ in the hydrolyzing of the CaCl₂ to form the HCl and the Ca(OH)₂.

An example of the method of removing CO₂ from water is shown in FIG. 4 , which illustrates a method for removing CO₂ from the ocean. Advantageously, the method leverages two advantages of CaCl₂ splitting compared to a NaCl-based process, resulting in a transformational improvement in ocean CO₂ removal. Firstly, the Ca and Cl constituents of the CaCl₂ brine can be recycled, and when regenerated, the brine is already concentrated. This is unlike a NaCl-based process where the split NaOH and HCl constituents are released with the treated seawater and replacement NaCl brine must be reconcentrated. Secondly, the proposed method of CaCl₂ splitting is based on the hydrolysis of CaCl₂ brine, a thermochemical process where appreciable quantities of HCl are produced in the acid/water phase above a heated CaCl₂ brine pool. Compared to electrochemical- and/or membrane-based salt-splitting approaches, brine hydrolysis is potentially more robust and lower cost to operate. In various aspects, the method can lower the cost of ocean CO₂ removal to an estimated cost of $62/ton CO₂ or less.

Aspects of the method address the high energy costs needed to drive ocean CO₂ removal. Input energy is required to convert the dominant form of CO₂ in the oceans, bicarbonate ion (HCO₃ ⁻), to form CO₂ gas that can be separated for utilization or sequestration. Conceptually, this process can be shown as HCO₃ ⁻ (aq)→CO₂ (g)+OH⁻ (aq), which has a reaction heat of +66 kJ/mol CO₂. Unfortunately, real processes have not achieved this minimum level of energy consumption, and state-of-the-art approaches are estimated to require many times this amount of energy to complete the task of CO₂ removal. Excessive energy consumption hinders ocean CO₂ removal by increasing operating costs and creating additional CO₂ emissions that need to be offset. The method of the present invention of removing CO₂ from water can provide a thermochemical cycle to achieve production of CO₂ from bicarbonate while enabling a lower cost of energy consumption compared to what is possible today, making the concept of ocean CO₂ removal a more feasible tool for carbon management.

Various aspects of the method of removing CO₂ from water is a process of hydrolytic softening based on salt splitting, but instead of NaCl the targeted salt can be CaCl₂), as shown in FIG. 4 . Using CaCl₂) can allow for a thermochemical approach to separate the salt into acid and base, thus switching the primary form of energy input from electricity to heat. The use of CaCl₂) can also avoid the need to concentrate the brine prior to splitting which is an energy-intensive requirement for some NaCl-based approaches.

Hydrated lime, Ca(OH)₂, is used in Step 1 of FIG. 4 to remove bicarbonate ions in seawater using the familiar chemistry of lime softening: at elevated pH, bicarbonate ions are reduced to carbonate which forms solid precipitates of CaCO₃. The alkalinity of seawater is approximately 200 ppm (as CaCO₃), and cold lime softening can be expected to achieve a reduction to around 50 ppm with near stoichiometric utilization of Ca(OH)₂. The precipitates formed in Step 1 can be allowed to settle by gravity and are collected as a dense slurry. Softened seawater exits the process; its elevated pH to be dissipated by absorbing additional CO₂ from the atmosphere and mixing with untreated seawater. These mixing processes can be accelerated by mechanical means, such as to prevent harm to the local environment.

The CaCO₃ slurry produced from the seawater softening process in FIG. 4 can be collected and sent to a reactor where it is mixed with aqueous HCl from brine hydrolysis. The resulting spontaneous reaction (−15 kJ/mol CO₂) decomposes the CaCO₃ to liberate CO₂ gas and reform the CaCl₂) brine. In order to control the concentration of the resulting CaCl₂) brine, the density of the incoming CaCO₃ slurry can be controlled along with the concentration of the HCl solution leaving the brine hydrolysis step. Advantageously, as compared to an a NaCl-based process, the need for brine concentration before salt splitting is avoided. With a NaCl process, the split constituents of HCl and NaOH are lost to the treated seawater, and new concentrate must be continually reformed.

The CO₂ released during Step 2 can include associated water vapor but can otherwise be of high purity. The CaCO₃ slurry can act as an effective scrubbing solution for vapor-phase HCl to prevent its contamination of the CO₂ product. The reaction between aqueous HCl and slurry CaCO₃ can be conducted under pressure to produce a pressurized CO₂ product, thus saving gas compression energy input.

Brine hydrolysis can be a driving process behind hydrolytic softening, as shown in FIG. 4 . In Step 3, the concentrated CaCl₂) brine, at a volume flow roughly 0.025% that of the seawater, can be hydrolyzed to form Ca(OH)₂ for softening and HCl to decompose the CaCO₃ precipitate.

As the data in FIG. 2 show, HCl is produced in significant amounts (approximately 3000 ppm) during the dynamic equilibrium above CaCl₂) brine held at a moderate temperature of 400° C. The hydrolysis data shown in FIG. 2 also result in corresponding Ca(OH)₂ left behind in the brine, some of which can precipitate because of its decreasing solubility with temperature.

In addition to the hypothesized energy savings with brine hydrolysis, other potential advantages have been identified over electrochemical approaches to salt splitting. For instance, the process chemistry is robust and can be tolerant of the other dissolved species found in seawater. Any impurities that accumulate in the process can be kept in check with a periodic blowdown of the excess seawater Ca that precipitates in addition to the Ca added from the hydrated lime. Finally, unlike electrochemical processes, there are no concerns of catalyst or membrane fouling with hydrolytic softening.

Compared to a NaCl-based process, the hydrolytic softening method described herein can be less disruptive to ocean life since it does not acidify the water which could harm sensitive organisms. As a result, hydrolytic softening can present a relatively lower environmental risk and should face fewer restrictions on its application. Regarding offshore processing costs, the simple reactor needs of hydrolytic softening make it more likely that cost projections can be met compared to a more complex process based on EDBM that requires large membrane surfaces that must be kept clean for optimal efficiency. In contrast, a floating reactor for hydrolytic softening only needs to separate seawater undergoing treatment from its surroundings and provide a collection basin (such as the ocean floor) for the precipitated carbonates. As with environmental concerns, hydrolytic softening appears to present less technical risk regarding ocean process development compared to state-of-the-art alternatives, and this feature should translate into a shorter time to market.

The method of hydrolytic water softening can be used for various purposes including ocean CO₂ removal and treatment of industrial waste brines. The application of treating waste brines to make them easier to recycle or to recover valuable products therefrom can include treating produced water from oil and gas development, or displaced brine from geologic CO₂ sequestration. Such processes could be powered by natural gas in remote areas.

Examples

Various aspects of the present invention can be better understood by reference to the following Examples which are offered by way of illustration. The present invention is not limited to the Examples given herein.

The reactor used in Examples 1 and 3 can decompose Ca and Mg carbonates (i.e., CaCO₃ and MgCO₃) as an alternative to conventional calcination (i.e., the direct thermal decomposition of these compounds. The reactor uses aqueous solutions of the corresponding chloride salts (i.e., CaCl₂) and MgCl₂) as a reaction intermediary to achieve carbonate decomposition at lower temperatures than those needed for direct thermal decomposition. Furthermore, the reactor converts the resulting oxide (CaO and MgO) into the corresponding hydroxide (Ca(OH)₂ or Mg(OH)₂), which is an exothermic reaction. This release of energy has the potential to offset the energy required for carbonate decomposition, a task that is virtually impossible to achieve with conventional calcination.

The reactor is illustrated in FIG. 5 , which shows the cross section of the reactor for the decomposition of CaCO₃ from CO₂-capture processes, water softening processes, and/or natural limestone. Within the sealed reactor a pool of concentrated liquid CaCl₂) brine resides at the bottom with a vapor phase above it. The vapor phase will consist of H₂O with a small fraction of HCl gas produced as a result of CaCl₂) salt hydrolysis; the exact amount of HCl depends on the temperature, pressure and brine concentration within the reactor. The other component of CaCl₂) hydrolysis, CaO, remains in the brine and is converted to the hydroxide Ca(OH)₂, which can precipitate due to its low solubility. At equilibrium the degree of CaCl₂) hydrolysis is fixed, but in the reactor shown, solid CaCO₃ is suspended in the vapor phase which promotes continual hydrolysis of the salt by consuming HCl gas to reproduce CaCl₂) salt. CO₂ gas is produced during this process which can be released from the reactor along with some amount of H₂O vapor. Provided the CaCO₃ bed depth is maintained, HCl vapor can be scrubbed from the gases exiting the reactor.

Conventional calcining of CaCO₃ can be represented by Reaction 1 which requires a 900° C. or higher temperature. In comparison, the proposed process using hydrolyzed CaCl₂) can be imagined to consist of the three steps shown in Reactions 2-4, where Reaction 2 is salt hydrolysis, Reaction 3 is the acidic decomposition of the carbonate, and Reaction 4 is hydroxide formation. Reactions 2 and 3 equate to the thermal decomposition of Reaction 1 and sum to the same theoretical heat of reaction, 178 kJ/mol CO₂. However, by incorporating exothermic hydroxide formation, Reaction 4, the overall alternative process has a reduced theoretical energy requirement of 112 kJ/mol CO₂. In addition to this 37% reduction in theoretical energy use, the alternative process has the potential to lower the required heat source temperature since Reaction 2 has been shown in the literature to occur at more moderate temperatures of 400° C.-500° C.

CaCO₃→CaO+CO₂(+178 kJ/mol CO₂)  (Reaction 1)

CaCl₂)+H₂O→CaO+2HCl(+113 kJ/mol CO₂)  (Reaction 2)

CaCO₃+2HCl→CaCl₂)+CO₂+H₂O(+65 kJ/mol CO₂)  (Reaction 3)

CaO+H₂O→Ca(OH)₂(−66 kJ/mol CO₂)  (Reaction 4)

Reactor pressure is another parameter for the process. The pressure can be selected in accordance with the temperature to maintain a distinct brine phase and another phase that includes water and the produced acid (e.g., supercritical water, such as above the brine stage), since these are required for the desired separations to take place. At the temperatures under consideration, the low pressure extreme results in solidified chloride salt in an atmosphere of H₂O and HCl vapors. At the other extreme where pressure is too high, a dense phase liquid is formed with no distinct separation of hydrolysis products or CO₂. In this case CO₂ separation would be infeasible and the solid carbonate reactant (e.g. CaCO₃) and hydroxide product (e.g. Ca(OH)₂) would be mixed. Precipitation of the hydroxide on the carbonate may also block complete conversion and decrease the efficiency of sorbent recycling.

The reactor operating pressure can also be used to advantage for the production of pressurized CO₂ that does not require any, or as much, compression for pipeline transport or geologic sequestration. The other streams entering and exiting the reactor are solids (e.g., the carbonate and hydroxide). Conveying these materials through a pressure gradient may pose engineering challenges but since the materials are incompressible, these streams should not require excessive compression energy.

Example 1. Regeneration Solution for CO₂ Direct Air Capture Solvents

A laboratory-scale apparatus is used to generate the data necessary to identify the preferred regeneration solution composition from a selected set of brine chemistries, identify effective hydrolysis conditions, and provide a basis for modeling the mass and energy flows with an integrated DAC process. Capture of CO₂ from the atmosphere using hydroxide-based solvents like KOH and causticizing them to form CaCO₃ has been demonstrated elsewhere and it is not necessary to include these steps as part of this evaluation. Key processes include hydrolysis of the chloride-based brine to form HCl and precipitated Ca(OH)₂, decomposition of CaCO₃ under hydrolysis temperature and pressure conditions, and recovery of CO₂ gas.

The laboratory apparatus is diagrammed in FIG. 6 . The apparatus includes a heated tube reactor with provisions for makeup liquid injection and an off-gas conditioning and measurement train. The reactor serves as a vessel for brine hydrolysis and as the reaction chamber for carbonate decomposition by fitting a solids basket above the liquid brine. The tubular reactor is fitted with a reacting solids basket, temperature and pressure transducers, and a vapor extraction probe. An off-gas analysis train is assembled to depressurize the vapors, allow for composition analysis, and totalize gas production.

Individual test series can have slight variations in setup and operating protocols depending on their specific objective, but all tests follow the same overall process. Prior to testing, the reactor is loaded with a predetermined quantity and composition of CaCl₂ as brine or solid, and for selected cases, CaCO₃ (without and with impurities). After heating to the test condition, vapor is extracted and its composition and flow rate recorded as a function of time. Condensed vapor samples for subsequent analysis can also be collected. The reactor operates in an open circuit mode; i.e., water vapor that would normally be recycled within the reactor is vented, and as a result, extended tests can require the addition of makeup water using a high-pressure pump. Following cooldown, the reactor is opened, and residual liquid and solid samples are collected for composition and other needed analysis.

Testing includes several evaluation stages, eventually leading to semicontinuous tests of the regeneration method. Initial tests to evaluate brine hydrolysis and carbonate decomposition are batch-operated without the addition of material inputs. Parameters including temperature over a range of 300° to 500° C. and brine composition are evaluated for their effect on hydrolysis and HCl formation. Hydrolysis is evaluated by analysis of the off-gas for HCl and the post-test analysis of recovered reactor liquids and precipitated solids. Operating pressure is constrained by temperature and brine composition and is determined for each test. Brine composition has been shown to have an effect on hydrolysis when comparing synthetic versus natural seawater, and is evaluated here in more depth by testing up to five brine chemistries to identify the preferred solution composition. All solutions are chloride-based, and one is aqueous CaCl₂. Following the hydrolysis evaluation, carbonate (i.e., CaCO₃) decomposition is evaluated at conditions suitable for brine hydrolysis to determine if this process can be incorporated within the hydrolysis reactor for simplified reactant transport and potential energy integration. Off-gas analysis is used to estimate the rate of conversion, and post-test sample recovery is used to determine conversion extent.

Testing then advances to longer-duration semicontinuous runs to evaluate mechanisms necessary for successful cycle operation. Key mechanisms include the cycling of HCl and CaCl₂, the precipitation and separation of Ca(OH)₂, the decomposition of CaCO₃ in a physical form it is likely to be in after causticization (i.e., precipitated from solution), the extraction of CO₂ product, and the ability to pass impurity species from other parts of the DAC process (e.g., KOH/K₂CO₃). This is semicontinuous, where CaCO₃ solids are charged at the beginning of a run and product Ca(OH)₂ are recovered after, but CO₂ product vapors are withdrawn continuously, and makeup brine water is added as needed to sustain operation. Before testing, the reactor is charged with a larger quantity of the target carbonate to allow for longer, semicontinuous evaluation of regeneration cycle processes, including the precipitation and separation of Ca(OH)₂, the decomposition of CaCO₃ in a physical form it is likely to be in after causticization, and extraction of CO₂ and any associated vapors. Testing can identify a baseline condition that can serve as the basis for high-level process integration modeling.

Data collection includes a combination of operational data logging and posttest analysis of recovered samples. Data logging includes reactor temperature(s) and pressure and analysis of the off-gas composition and flow rate. Recovered samples from each test include residual brine liquid, precipitated solids in the brine, and residual solids left in the carbonate loading basket. Liquids undergo analysis for pH and dissolved species determination. Solids are evaluated for their chemical makeup using X-ray fluorescence and, as needed, X-ray diffraction for mineral phase identification and inspection using a scanning electron microscope.

The regeneration process is evaluated over a range of temperatures from 300° C. to 500° C. Below this range, hydrolysis diminishes because of reduced HCl vapor pressure, and above it, Ca(OH)₂ formation is not favored. Operating pressure is constrained by temperature and brine composition and will be determined individually for each test. Using available data, a typical operating pressure is expected to be 6 MPa.

Input solids include a target carbonate compound, CaCO₃, which is representative of the final capture product for DAC systems utilizing Ca causticization. Initial batch conversion tests use a purchased CaCO₃ reagent for test-to-test consistency, but the semicontinuous tests use CaCO₃ precipitated from a simulated causticization process. This precipitated material includes or is spiked with process impurities such as unconverted Ca(OH)₂ and carryover KOH/K₂CO₃ to determine their fate and demonstrate that a manageable steady state can be achieved. Ambient pollutant impurities, specifically SO₂ and NO_(x), are not be evaluated experimentally, but they will be treated using modeling to identify their likely fate and explore management options.

Chemical process modeling is used to supplement the results and extrapolate performance for a full-scale DAC. In order to estimate the potential performance of a full-scale DAC system, process modeling software Aspen Plus is used alongside experimental data to produce a complete analysis.

The proposed effort is directly relevant to the development of improved DAC systems by addressing a key barrier to commercialization for solvent DAC, i.e., the regeneration energy it requires. Cuts in regeneration energy compared to high-temperature calcination result in fewer emissions that must be offset to achieve net carbon reduction, and lowering the maximum heat source temperature expands the pool of candidate energy sources that can be applied to power large-scale DAC. Even if this approach may not result in the lowest specific separation energy or the lowest regeneration temperature compared to sorbent- or membrane-based approaches, it will still be impactful because of the engineering advantages solvents offer to the design of large-scale air contactors, in particular the ability to decouple CO₂ capture from regeneration. Therefore, feasible methods to reduce the energy consumption of DAC solvents can be used to implement large-scale air contactors based on solvents in the near term, but the same may not be true for sorbent- or membrane-based systems.

Example 1 Supporting Data

The process of hydrolyzing CaCl₂ to form HCl and Ca(OH)₂ was investigated experimentally to demonstrate the potential energy savings of brine hydrolysis regeneration over the conventional approach based on high-temperature calcination. The apparatus diagrammed in FIG. 6 was used to determine the degree of CaCl₂ hydrolysis as a function of temperature, and to experimentally determine the standard heat of reaction, which has a theoretical value of +128 kJ/mol CO₂ as shown in Table 1 for the brine hydrolysis reaction itself.

For the experiments, approximately 20 g of hydrated CaCl₂) was loaded into the vertical tube reactor of FIG. 6 and heated to temperatures over the approximate range of 250° C. to 490° C. Reactor pressure was maintained at approximately 0.1 MPa absolute, and the salt was exposed to a steam atmosphere generated from the vaporization of makeup water pumped into the heated cabinet. Steam flow was maintained by the water makeup pump and equated to a volume flow rate of approximately 3.7 Lpm at the exit conditions of the heated cabinet (i.e., 0.1 MPa and 191° C.). Hydrolysis extent was monitored by condensing the steam atmosphere exiting the reactor cabinet, and measuring condensate pH, which was correlated to HCl concentration. Periodic samples of this condensate were also collected and analyzed for calcium and chloride ions to provide confirmation of its composition.

Summary data for the CaCl₂) hydrolysis experiments are presented in Table 2 and in the Arrhenius plot of FIG. 7 . Within experimental variability, the data clearly show a linear trend with a curve-fit slope of −7683 degrees Kelvin. Given that the slope of an Arrhenius plot is equal to the negative value of activation energy divided by the universal gas constant (8.31451 J/mol/K), the experimentally-determined activation energy was +127.8 kJ/mol Ca (or per mole CO₂ if discussing the entire regeneration process). This value is virtually identical to the theoretical value of CaCl₂) brine hydrolysis presented in Table 1, and it provides evidence of the reduced activation energy requirement of this method compared to calcination regeneration.

TABLE 2 Summary Data from CaCl₂ Hydrolysis Experiments. Reactor Reactor Measured HCl Pressure, Temperature, Content in Gas MPa Absolute ° C. Phase, ppmv 0.1 253 43 0.1 290 104 0.1 350 310 0.1 351 331 0.1 382 464 0.1 435 1140 0.1 487 5160

Example 2. Energy Estimation for DAC Regeneration Solution

The state point data table applicable to various solvent materials is provided in Table 3. The entries for the pure solvent, working solution, and absorption fields in Table 3 are based on a DAC system using KOH capture solvent and Ca causticization as shown in FIG. 3 . Improvements from using the regeneration solution and brine hydrolysis regeneration appear under the desorption field; these values are estimated based on the minimum-pressure CaCl₂ hydrolysis condition presented in FIG. 2 . However, it is important to note that those data were not gathered to optimize HCl production and that a wider range of temperature conditions (300° to 500° C.) and multiple brine compositions are evaluated in Example 1 to optimize DAC system integration.

TABLE 3 Preliminary state point data table. Measured/ Estimated Units Performance Pure Solvent^(a) Molecular Weight mol⁻¹ 56.1  Normal Boiling Point C. 1327° Normal Freezing Point C.  405° Vapor Pressure at 15° C. bar 0   Working Solution^(b) Concentration kg/kg 0.10 Specific Gravity — 1.09 (15° C./15° C.) Specific Heat Capacity at kJ/kg · K 3.88 STP Viscosity at STP cP 1.25 Surface Tension at STP dyn/cm 76.5  CO₂ Mass Transfer Rate, m/s  0.0013 [K_(L)] CO₂ Reaction Rate — 75% over 5 s Thermal Conductivity W/(m · K)  0.616 Absorption^(b) Pressure bar 1   Temperature C. 15   Equilibrium CO₂ Loading gmol CO₂/kg 0.46 Heat of Absorption kJ/kg CO₂ 2180    Solution Viscosity cP 1.25 Desorption Pressure bar <50^(c)   Temperature C. 300 to 350^(c) Equilibrium CO₂ Loading gmol CO₂/kg   0.002^(d) Heat of Desorption kJ/kg CO₂ 3800 to 5700^(e) ^(a)Measured property data based on KOH as the pure solvent; ^(b)Reported data based on CO₂ DAC with a 2M KOH solution; ^(c)Projected values from extension of reported data; ^(d)Projected loading assuming an optimized CaCO₃ conversion of 99.5%; ^(e)Projected range based on similar low and high heat recuperation assumptions used for solvent DAC analysis.

The heat of desorption value in Table 3 represents an approximately 35% energy savings compared to conventional CaCO₃ calcination. For further comparison, recent analyses for solid DAC sorbents gave a range of 3400 to 4800 kJ/kg CO₂ for regeneration energy. The corresponding regeneration temperature for that sorbent analysis was assumed to be 67° to 100° C., but many engineering issues need to be overcome to realize the large-scale application of potential. The data presented in Table 3 demonstrates that brine hydrolysis regeneration can combine the desirable CO₂ capture and system engineering characteristics of solvent DAC with the lower energy input requirements more typical of solid sorbent processes.

Example 3. Hydrolytic Softening of Ocean Water for Carbon Dioxide Removal

Laboratory testing is used to identify effective hydrolysis conditions and provide a basis for modeling the mass and energy flows for an integrated hydrolytic softening process, as illustrated in FIG. 4 . Parametric brine hydrolysis testing is performed where data will be generated regarding the extent of hydrolysis conversion at various conditions of temperature, brine composition, and vapor extraction rate. Hydrolytic lime product testing is performed, and favorable hydrolysis conditions identified during the parametric tests are repeated for extended durations to produce larger quantities of the precipitated solids (referred to as hydrolytic lime) for subsequent softening effectiveness testing.

The laboratory apparatus is diagrammed in FIG. 6 ; it is based around a high-temperature (1000° C. maximum) vertical tube reactor system. The apparatus includes a heated tube reactor with provisions for makeup liquid injection and an off-gas conditioning and measurement train.

For each semi-batch evaluation test, the reactor is loaded with a predetermined quantity and composition of brine. After heating to the test condition, vapor is extracted and its composition and flow rate recorded as a function of time. Composition data is determined using an online Fourier transform infrared gas analyzer that includes a calibration for HCl. The gas is also passed through an absorbing impinger solution to capture the acid gas and allow determination of a total acid quantity. For these tests, the reactor operates in an open circuit mode; i.e., water vapor that would normally be recycled within the reactor will be vented, and as a result, extended tests may require the addition of makeup water using a high-pressure pump. Following cooldown, the reactor is opened, and residual liquid and solid samples are collected for yield determination and composition analysis.

Data collection includes a combination of operational data logging and posttest analysis of recovered samples. Data logging includes reactor temperature(s) and pressure and analysis of the off-gas composition and flow rate. Recovered samples from each test include residual brine liquid and precipitated solids in the brine. Liquids undergo analysis for pH and dissolved species determination. Solids are evaluated for their chemical makeup using X-ray fluorescence and, as needed, X-ray diffraction for mineral phase identification and inspection using a scanning electron microscope.

Parametric Brine Hydrolysis Testing. Parameters including temperature and brine composition are evaluated for their effect on hydrolysis and HCl formation. Operating pressure is constrained to a feasible range bounded by too little HCl production at high pressure and crystallization of the brine if pressure is too low; this range is a function of temperature and brine composition and is determined for each test. The temperature range evaluated is 300° to 500° C., but the test range is also adapted based on test feedback in order to minimize the needed heat source temperature. Brine composition has an effect on hydrolysis when comparing synthetic versus natural seawater; as a result, pure CaCl₂ brine along with brine containing Mg, an expected impurity from seawater, are evaluated.

Hydrolytic Lime Product Testing. Precipitated solids that form in the hydrolysis reactor represent the material that can be used for seawater softening in a full-scale ocean CO₂ removal system. Favorable test conditions can be repeated and extended in time by injecting makeup solution to achieve a quasi steady-state condition. These extended runs can be used to produce sufficient quantity of hydrolytic lime product (up to gram-size quantities) for detailed composition analysis and for softening effectiveness tests using synthetic seawater solutions. These latter tests can substantiate the stoichiometry of water softening using base material from brine hydrolysis. The target base material is Ca(OH)₂, but could potentially include CaO, CaClOH, and unconverted CaCl₂).

Hydrolysis data generated is used to validate a process simulation of brine hydrolysis in Aspen Plus; this unit operation model is, in turn, used to develop a complete process for efficiently extracting HCl and Ca(OH)₂ products. The overall process separates HCl while recycling as much H₂O as feasible to avoid wasting energy on excessive water vaporization. Another design consideration for the process is a means to recycle sensible heat between the hot products and incoming brine.

In order to estimate the potential performance of a full-scale hydrolytic softening system for seawater, process modeling software Aspen Plus is used alongside experimental data to produce a complete analysis. But the specific energy consumption (i.e., kJ/kg CO₂) is difficult to measure accurately an apparatus of this size. For this and other similar scenarios, chemical process models calibrated with measured experimental data is used to estimate the needed parameters. Estimates from techno-economic modeling are used to determine if a $100/ton levelized cost of CO₂ removal can be met.

Example 3 Supporting Data

In order to demonstrate the feasibility of applying hydrolytic softening for carbon dioxide removal from the ocean, laboratory experiments were used to measure carbonate precipitation using Ca(OH)₂ as the softening reagent, and to show the potential for the complete recovery of calcium that is necessary to perpetuate a cycle of regeneration and reuse. These tests used three material streams to simulate the process of carbon dioxide removal from the ocean, 1) artificial seawater, 2) softening reagent solution, and 3) seed particles to serve as nucleation sites for certain tests. Artificial seawater prepared according to ASTM D1141-98 standards (dry solids supplied by Lake Products Company, Florissant, Mo.), was used as the seawater source. The softening reagent solution was prepared by forming a saturated solution of Ca(OH)₂ in distilled water. Seed particles were composed of powdered CaCO₃ having a mean particle diameter of 48 μm. For tests that used seeds, they were added at a nominal loading of 10 g/L, which provided approximately 0.6 m²/L of nucleation surface area.

The test procedure consisted of adjusting the pH of each seawater sample using saturated Ca(OH)₂ solution, adding or withholding seed particles, and agitating the solution for 24 hours of contact time. At the conclusion of 24 hours, each seawater sample was filtered to remove precipitates and the liquid was analyzed for alkalinity, calcium, and magnesium. These data are summarized in Table 4.

TABLE 4 Summary Data for Seawater Softening Tests. Calculated Recovered Starting Ending CO₂ Ca to Ca pH After Alkalinity, Ending Ending Equivalent Added as Seeds Ca(OH)₂ mg/L (as Ca, Mg, Removal, Ca(OH)₂, Test Present Addition CaCO₃) mg/L mg/L % mol/mol 1 No 8.21 138 593 1320 0.0 NA 2 No 8.91 91.4 566 1320 34.3 2.25 3 No 9.42 41.7 550 1320 73.6 1.87 4 No 9.84 42.1 531 1280 79.1 1.96 5 No 10.09 48.9 548 1240 79.8 1.54 6 No 10.17 41.7 581 1210 82.5 1.11 7 Yes 8.14 110 565 1270 20.7 NA 8 Yes 8.86 105 570 1310 23.7 2.06 9 Yes 9.28 38.7 542 1310 73.4 2.04 10 Yes 9.61 39.1 557 1310 81.9 1.56 11 Yes 9.82 41.7 560 1300 79.4 1.39 12 Yes 10.06 41.2 589 1290 83.5 1.04

Test 1 in Table 4 represents the starting seawater solution and served as the basis to calculate carbon dioxide removal and to determine the amount of recovered calcium. Carbon dioxide removal results are also plotted in FIG. 8 , and they indicate the potential for high efficiency, up to 73%, at adjusted pH values in the range of 9.0 to 9.5. The corresponding magnesium data in Table 4 confirm that carbon dioxide removal within this pH range occurred before any significant co-precipitation of magnesium hydroxide.

Within the pH range of approximately 9.0 to 9.5, the calcium carbonate saturation index (as calcite) approaches a maximum, but supersaturation of the unproductive and competitive precipitant magnesium hydroxide (as brucite) does not occur. This preferred range of pH adjustment for ocean carbon dioxide removal is highlighted in FIG. 9 , which is a plot of calculated saturation index values for calcite and brucite.

One aspect of hydrolytic softening is to operate as a closed cycle without net input of calcium. To make cyclic operation possible, the calcium used for pH adjustment as Ca(OH)₂ needs to be recovered as CaCO₃ precipitate, and recycled using the process of brine hydrolysis regeneration. To confirm that cyclic operation is possible, the experimental calcium recovery values from Table 4 are plotted in FIG. 10 . Over the adjusted pH range of interest for seawater, 9.0 to 9.5, the recovery ratio has a value near two, meaning that nearly double the calcium needed for cyclic operation could potentially be recovered. This calcium recovery excess is an important operating characteristic since it will allow optimization of the precipitation stage in terms of residence time and circulation rate, and will ultimately lead to a lower cost of implementation.

Example 4. Economic Analysis of Hydrolytic Softening of Ocean Water for Carbon Dioxide Removal

The key advantage offered by the proposed technology is a reduction in the energy cost required for ocean CO₂ removal. Energy cost savings are achieved by eliminating the need to concentrate brine prior to salt splitting and by incorporating a unique thermochemical approach for splitting. The impact of reduced energy consumption is manifested in the estimated performance metrics summarized in Table 5.

TABLE 5 Summary of performance metrics. Performance Metric Target Estimated Value Levelized Cost of <$100/ton CO₂ $62/ton of net CO₂ CO₂ Capture removed Second-Law Efficiency >10%  27% Embodied Emissions  <5% 0.9% (as % of life cycle captured emissions)

The second-law efficiency determination was based on the minimum heat of reaction for bicarbonate ion conversion to CO₂ (HCO₃ ⁻(aq)→CO₂ (g)+OH⁻(aq)), which is +66 kJ/mol CO₂ at reference conditions. Energy consumption for hydrolytic softening was estimated to include two parts: the sensible energy needed to reach hydrolysis conditions (assumed to be 400° C.) from the reference state and the reaction energy for hydrolysis. Sensible energy consumption was estimated to be +35 kJ/mol CO₂ using a simple Aspen Plus model of the recuperative heating of a CaCl₂) brine from 20° to 400° C. with a 50° C. heat exchanger temperature approach limit. Hydrolysis energy was estimated to be +214 kJ/mol CO₂ by setting a 60% thermal efficiency target for CaCl₂) hydrolysis, Reaction 5 below, which has a theoretical reaction heat of +128 kJ/mol CO₂. Combined, these estimates result in a preliminary value of +249 kJ/mol CO₂ for hydrolytic softening; this compared to the minimum energy for CO₂ removal at the reference state results in a second-law efficiency estimate of 27%.

CaCl₂)+2H₂O→Ca(OH)₂+2HCl  (Reaction 5)

Embodied emissions were based on a nominal 1-million-ton CO₂ per year capture facility. An embodied emission factor of 14.6 g CO₂/kWhe developed for coal-fired power plants was used to estimate these emissions. The factor was converted to a thermal basis of 3.8 g CO₂/kWhth (assuming 45% thermal efficiency and a capacity factor of 1) and scaled for the estimated system firing rate of 163 MWth. The result was an estimate of 5890 tons CO₂/yr of embodied emissions for the lifetime of the project (20 years); this value was 0.9% of the estimated net CO₂ captured for this scenario, or 644,000 tons CO₂/year.

Techno-Economic Analysis.

A preliminary cost model has been developed for a hydrolytic softening process sized for the nominal removal of 1 million tons of CO₂ from the ocean per year. It was estimated that with the reduced energy requirements of this concept and its use of thermal energy, a cost of $62/ton CO₂, appears achievable for ocean CO₂ removal, significantly below a $100/ton performance target. FIG. 11 illustrates process flow values used for the techno-economic assessment. Table 6 illustrates the preliminary techno-economic analysis for a hydrolytic ocean CO₂ removal system with 1 million tons CO₂ per year nominal capacity.

TABLE 6 Preliminary Techno-Economic Analysis for a Hydrolytic Ocean CO₂ Removal System with 1 million tons CO₂ per year Nominal Capacity. Item Basis Estimated Value Ocean Softening Reservoir $35/m³ of estimated retention $110,000,000 Capital volume Brine Hydrolysis and Carbonate $840/kWth of estimated heat $137,000,000 Decomposition Capital input rate System Ca(OH)₂ Consumption Assumed 1:1 molar ratio of 2.07 × 10¹⁰ mol/yr Ca(OH)₂ to CO₂ gas captured System Energy Consumption Brine hydrolysis energy 163 MWth required for needed HCl rate assuming 60% thermal efficiency Annual Energy Cost Natural gas at $3.43/MMBtu $16,700,000/yr Nominal CO₂ Removed from Input specification 1,000,000 ton CO₂/yr the Ocean Annual CO₂ Emissions from Emissions factor of 227 g 356,000 ton CO₂/yr Energy Consumption CO₂/kWth for natural gas Net Annual CO₂ Capture Difference between capture 644,000 ton CO₂/yr and energy emissions Levelized Cost of Net CO₂ Assumed a 20-year project life, $62/ton CO₂ Removal 7% annual discount rate, and zero end of life value

Carbonate removal rate. Determination assumed an incoming concentration of 200 ppm in seawater and a softened concentration of 50 ppm (both values given as CaCO₃). This range is typical of conventional softener performance and results in a seawater throughput of nearly 1.6 million m³/hr for a nominal 1 million tons of CO₂/year. The net CO₂ emissions were somewhat lower in Table 6 to account for CO₂ associated with energy production.

Hydrated lime and HCl consumption. Determined from the stoichiometric ratio of 1 mole Ca(OH)₂ and HCl to separate and release 1 mole of CO₂ gas. In reality it is likely that closer to 2 moles of CaCO₃ will precipitate per mole of added Ca(OH)₂ because of Ca(HCO₃)₂ existing in seawater, but the production of CO₂ gas will be constrained by HCl availability.

Brine hydrolysis energy consumption was estimated using a hydrolysis efficiency target of 60% and a reasonable sensible heat recuperation assumption of 3800 to 5700 kJ/kg CO₂. The energy basis for hydrolysis was estimated to be +249 kJ/mol CaCl₂). These assumptions resulted in a plant heat input rate of 163 MWth for the 1-million-ton/year CO₂ removal rate.

Power cost was assumed to be dominated by the thermal energy for brine hydrolysis. Natural gas at $3.43/MMBtu and with a carbon intensity of 227 g CO₂/kWth was the energy source. To account for the CO₂ released from gas consumption, these emissions were deducted from the plant's nominal 1-million-ton/year capacity and the resulting cost of CO₂ removal was normalized on a net CO₂ removal basis to result in an annual cost of $16,700,000 or roughly $26 per ton of net CO₂.

Capital cost for solids regeneration. Capital for Steps 2 and 3 in FIG. 11 was estimated by scaling the costs for a modern supercritical coal-fired power plant, an engineered system perceived to have similarities to the eventual brine hydrolysis process in terms of operating temperatures and pressures and that incorporates a similar variety of unit operations (e.g., large-scale heat generation and heat transfer, emission control, solids collection and transport, and the like). Assumed cost on an electrical output basis was $2100/kWe or $840/kWth on a thermal input basis.

Capital cost for ocean softening. Capital for Step 1 in FIG. 11 is based on what are assumed to be existing analog structures to the floating reservoir envisioned for softening, i.e., floating cages used for large-scale ocean-based aquaculture. The key cost driver for the softener infrastructure is based on the retention time needed for lime mixing and settling of the precipitated carbonates. A typical retention time value of 2 hours was assumed; at the nominal seawater throughput this sizing criteria resulted in a 3.1 million m³ enclosed volume capacity. This volume is roughly one order of magnitude larger than the largest aquaculture systems in use today, suggesting that an ocean CO₂ removal system would require multiple units or the development of larger systems. Costs were assumed using $35/m³ of enclosed volume based on a survey of aquaculture cage designs.

The terms and expressions that have been employed are used as terms of description and not of limitation, and there is no intention in the use of such terms and expressions of excluding any equivalents of the features shown and described or portions thereof, but it is recognized that various modifications are possible within the scope of the aspects of the present invention. Thus, it should be understood that although the present invention has been specifically disclosed by specific aspects and optional features, modification and variation of the concepts herein disclosed may be resorted to by those of ordinary skill in the art, and that such modifications and variations are considered to be within the scope of aspects of the present invention.

Exemplary Aspects

The following exemplary aspects are provided, the numbering of which is not to be construed as designating levels of importance:

Aspect 1 provides a method of treating a metal carbonate salt, the method comprising:

-   -   hydrolyzing a metal halide salt to form a hydrohalic acid and a         hydroxide salt of the metal in the metal halide salt, the metal         comprising an alkaline earth metal or an alkali metal; and     -   reacting the hydrohalic acid with the metal carbonate salt,         wherein the metal carbonate salt is a carbonate salt of the         alkaline earth metal or alkali metal, to form CO₂ and the metal         halide salt, wherein at least some of the metal halide salt         formed from the reacting of the hydrohalic acid with the metal         carbonate salt is recycled as at least some of the metal halide         salt in the hydrolyzing of the metal halide salt to form the         hydrohalic acid and the hydroxide salt.

Aspect 2 provides the method of Aspect 1, wherein the metal carbonate salt is BeCO₃, MgCO₃, CaCO₃, SrCO₃, BaCO₃, RaCO₃, Li2CO₃, Na₂CO₃, K₂CO₃, Rb₂CO₃, Cs₂CO₃, Fr₂CO₃, or a combination thereof.

Aspect 3 provides the method of any one of Aspects 1-2, wherein the metal carbonate salt is CaCO₃, MgCO₃, or a combination thereof.

Aspect 4 provides the method of any one of Aspects 1-3, wherein the metal carbonate salt is CaCO₃.

Aspect 5 provides the method of Aspect 4, wherein the CaCO₃ is produced from a CO₂-capture sorbent, is a CaCO₃ precipitate formed from water softening, is natural limestone, or a combination thereof.

Aspect 6 provides the method of any one of Aspects 1-5, wherein the alkaline earth metal or alkali metal is beryllium, magnesium, calcium, strontium, barium, radium, lithium, sodium, potassium, rubidium, cesium, francium, or a combination thereof.

Aspect 7 provides the method of any one of Aspects 1-6, wherein the alkaline earth metal or alkali metal is magnesium, calcium, or a combination thereof.

Aspect 8 provides the method of any one of Aspects 1-7, wherein the alkaline earth metal or alkali metal is calcium.

Aspect 9 provides the method of any one of Aspects 1-8, wherein the metal halide salt is a beryllium halide salt, a magnesium halide salt, a calcium halide salt, a strontium halide salt, a barium halide salt, a radium halide salt, a lithium halide salt, a sodium halide salt, a potassium halide salt, a rubidium halide salt, a cesium halide salt, a francium halide salt, or a combination thereof.

Aspect 10 provides the method of any one of Aspects 1-9, wherein the metal halide salt is beryllium chloride, magnesium chloride, calcium chloride, strontium chloride, barium chloride, radium chloride, lithium chloride, sodium chloride, potassium chloride, rubidium chloride, cesium chloride, francium chloride, or a combination thereof.

Aspect 11 provides the method of any one of Aspects 1-10, wherein the metal halide salt is CaCl₂), MgCl₂, or a combination thereof.

Aspect 12 provides the method of any one of Aspects 1-11, wherein the metal halide salt is CaCl₂).

Aspect 13 provides the method of any one of Aspects 1-12, wherein the hydrohalic acid is HCl, HBr, HI, HF, or a combination thereof.

Aspect 14 provides the method of any one of Aspects 1-13, wherein the hydrohalic acid is HCl.

Aspect 15 provides the method of any one of Aspects 1-14, wherein the hydroxide salt is Be(OH)₂, Mg(OH)₂, Ca(OH)₂, Sr(OH)₂, Ba(OH)₂, Ra(OH)₂, LiOH, NaOH, KOH, RbOH, CsOH, FrOH, or a combination thereof.

Aspect 16 provides the method of any one of Aspects 1-15, wherein the hydroxide salt is Ca(OH)₂, Mg(OH)₂, or a combination thereof.

Aspect 17 provides the method of any one of Aspects 1-16, wherein the hydroxide salt is Ca(OH)₂.

Aspect 18 provides the method of any one of Aspects 1-17, wherein

-   -   the metal carbonate salt is CaCO₃,     -   the alkaline earth metal or alkali metal is calcium,     -   the metal halide salt is CaCl₂),     -   the hydrohalic acid is HCl, and     -   the hydroxide salt is Ca(OH)₂.

Aspect 19 provides the method of any one of Aspects 1-18, wherein the hydrolyzing of the metal halide salt is performed at a pressure of 0.1 MPa-100 MPa.

Aspect 20 provides the method of any one of Aspects 1-19, wherein the hydrolyzing of the metal halide salt is performed at a pressure of 3 MPa to 9 MPa.

Aspect 21 provides the method of any one of Aspects 1-20, wherein the hydrolyzing of the metal halide salt is performed at a pressure of 5-7 MPa.

Aspect 22 provides the method of any one of Aspects 1-21, wherein the hydrolyzing of the metal halide salt is performed at a temperature of room temperature to 1000° C.

Aspect 23 provides the method of any one of Aspects 1-22, wherein the hydrolyzing of the metal halide salt is performed at a temperature of 300° C. to 500° C.

Aspect 24 provides the method of any one of Aspects 1-23, wherein the hydrolyzing of the metal halide salt is performed at a temperature of 350° C. to 450° C.

Aspect 25 provides the method of any one of Aspects 1-24, wherein the hydrolyzing of the metal halide salt produces the hydrohalic acid at a molar content of 0.01% to 10%.

Aspect 26 provides the method of any one of Aspects 1-25, wherein the hydrolyzing of the metal halide salt produces the hydrohalic acid at a molar content of 0.1% to 1%.

Aspect 27 provides the method of any one of Aspects 1-26, wherein the reacting of the hydrohalic acid with the metal carbonate salt is performed at a pressure of 0.1 MPa-100 MPa.

Aspect 28 provides the method of any one of Aspects 1-27, wherein the reacting of the hydrohalic acid with the metal carbonate salt is performed at a pressure of 3 MPa to 9 MPa.

Aspect 29 provides the method of any one of Aspects 1-28, wherein the reacting of the hydrohalic acid with the metal carbonate salt is performed at a temperature of room temperature to 500° C.

Aspect 30 provides the method of any one of Aspects 1-29, wherein the reacting of the hydrohalic acid with the metal carbonate salt is performed at a temperature of 350° C. to 450° C.

Aspect 31 provides the method of any one of Aspects 1-30, wherein the metal halide salt formed from the reacting of the hydrohalic acid with the metal carbonate salt is 0.001 wt % to 100 wt % of the metal halide salt used in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt.

Aspect 32 provides the method of any one of Aspects 1-31, wherein the metal halide salt formed from the reacting of the hydrohalic acid with the metal carbonate salt is 80 wt % to 100 wt % of the metal halide salt used in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt.

Aspect 33 provides the method of any one of Aspects 1-32, wherein the hydrolyzing of the metal halide salt and the reacting of the hydrohalic acid with the metal carbonate salt is performed together in a pressurized reactor.

Aspect 34 provides the method of any one of Aspects 1-33, further comprising reacting a used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt that is a carbonate salt of the metal in the metal halide salt.

Aspect 35 provides the method of Aspect 34, wherein the used CO₂-capture sorbent is a used hydroxide-based, ammonia-based, and/or amine-based CO₂-capture sorbent.

Aspect 36 provides the method of any one of Aspects 34-35, wherein the used CO₂-capture sorbent is derived from sorption of CO₂ by a hydroxide-based, ammonia-based, and/or amine-based CO₂-capture sorbent.

Aspect 37 provides the method of any one of Aspects 34-36, wherein the CO₂-capture sorbent is a used hydroxide-based CO₂-capture sorbent.

Aspect 38 provides the method of any one of Aspects 34-37, wherein the used CO₂-capture sorbent is Ca(HCO₃)₂, Mg(HCO₃)₂, K₂CO₃, Na₂CO₃, or a combination thereof.

Aspect 39 provides the method of any one of Aspects 34-38, wherein the reacting of the used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt is performed at a pressure of 0.01 MPa to 10 MPa.

Aspect 40 provides the method of any one of Aspects 34-39, wherein the reacting of the used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt is performed at a pressure of about 0.05 MPa to 0.2 MPa.

Aspect 41 provides the method of any one of Aspects 34-40, wherein the reacting of the used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt is performed at a temperature of room temperature to 350° C.

Aspect 42 provides the method of any one of Aspects 34-41, wherein the reacting of the used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt is performed at a temperature of 50° C. to 150° C.

Aspect 43 provides the method of any one of Aspects 34-42, further comprising contacting a CO₂-capture sorbent with CO₂ to form the used CO₂-capture sorbent.

Aspect 44 provides the method of any one of Aspects 34-43, further comprising contacting Ca(OH)₂, Mg(OH)₂, KOH, and/or NaOH with CO₂ to form the used CO₂-capture sorbent.

Aspect 45 provides the method of any one of Aspects 34-44, wherein the reacting of the used CO₂-capture sorbent with the hydroxide salt to form the metal carbonate salt also forms an unused CO₂-capture sorbent.

Aspect 46 provides the method of Aspect 45, wherein the unused CO₂-capture sorbent is Ca(OH)₂, Mg(OH)₂, KOH, and/or NaOH.

Aspect 47 provides the method of any one of Aspects 45-46, wherein the unused CO₂-capture sorbent is KOH and/or NaOH.

Aspect 48 provides the method of any one of Aspects 45-47, further comprising providing the unused CO₂-capture sorbent for CO₂ capture.

Aspect 49 provides the method of any one of Aspects 34-48, wherein at least some of the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt to form the hydrohalic acid and the hydroxide salt is recycled as at least some of the hydroxide salt used in the reacting of the used CO₂-capture sorbent with the hydroxide salt.

Aspect 50 provides the method of Aspect 49, wherein the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt is 0.001 wt % to 100 wt % of the hydroxide salt used in the reacting of the used CO₂-capture sorbent with the hydroxide salt.

Aspect 51 provides the method of any one of Aspects 49-50, wherein the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt is 80 wt % to 100 wt % of the hydroxide salt used in the reacting of the used CO₂-capture sorbent with the hydroxide salt.

Aspect 52 provides the method of any one of Aspects 1-51, further comprising reacting NaHCO₃, Mg(HCO₃)₂, Ca(HCO₃)₂, KHCO₃, or a combination thereof, with the hydroxide salt to provide the metal carbonate salt that is a carbonate salt of the metal in the metal halide salt.

Aspect 53 provides the method of Aspect 52, wherein the method is a method of softening water.

Aspect 54 provides the method of any one of Aspects 1-53, further comprising reacting a bicarbonate salt from a natural water source, wherein the bicarbonate salt is NaHCO₃, Mg(HCO₃)₂, Ca(HCO₃)₂, KHCO₃, or a combination thereof, with the hydroxide salt to provide the metal carbonate salt.

Aspect 55 provides the method of Aspect 54, wherein the natural water source comprises salt water, ocean water, brackish water, fresh water, a stream, a pond, a lake, a river, or a combination thereof.

Aspect 56 provides the method of any one of Aspects 54-55, wherein the bicarbonate salt is Ca(HCO₃)₂.

Aspect 57 provides the method of any one of Aspects 54-56, wherein at least some of the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt to form the hydrohalic acid and the hydroxide salt is recycled as at least some of the hydroxide salt used in the reacting of the bicarbonate salt with the hydroxide salt.

Aspect 58 provides the method of Aspect 57, wherein the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt is 0.001 wt % to 100 wt % of the hydroxide salt used in the reacting of the bicarbonate salt with the hydroxide salt.

Aspect 59 provides the method of any one of Aspects 57-58, wherein the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt is 80 wt % to 100 wt % of the hydroxide salt used in the reacting of the bicarbonate salt with the hydroxide salt.

Aspect 60 provides a method of treating CaCO₃, the method comprising:

-   -   hydrolyzing CaCl₂ to form HCl and Ca(OH)₂; and     -   reacting the HCl with the CaCO₃, to form CO₂ and CaCl₂, wherein         at least some of the CaCl₂ formed from the reacting of the HCl         with the CaCO₃ is recycled as at least some of the CaCl₂ in the         hydrolyzing of the CaCl₂ to form the HCl and the Ca(OH)₂.

Aspect 61 provides the method of Aspect 60, further comprising reacting a used CO₂-capture sorbent with the Ca(OH)₂, to form the CaCO₃, wherein at least some of the Ca(OH)₂ formed in the hydrolysis of the CaCl₂ to form the HCl and the Ca(OH)₂ is recycled as at least some of the Ca(OH)₂ used in the reacting of the used CO₂-capture sorbent with the Ca(OH)₂.

Aspect 62 provides the method of any one of Aspects 60-61, further comprising reacting Ca(HCO₃)₂ from a water source (e.g., ocean water) with the Ca(OH)₂, to form the CaCO₃, wherein at least some of the Ca(OH)₂ formed in the hydrolysis of the CaCl₂ to form the HCl and the Ca(OH)₂ is recycled as at least some of the Ca(OH)₂ used in the reacting of the Ca(HCO₃)₂ with the Ca(OH)₂.

Aspect 63 provides a method of regenerating a used hydroxide-based CO₂-capture sorbent, the method comprising:

-   -   hydrolyzing a metal halide salt to form a hydrohalic acid and a         hydroxide salt of the metal in the metal halide salt, the metal         comprising an alkaline earth metal or an alkali metal;     -   reacting the used hydroxide-based CO₂-capture sorbent with the         hydroxide salt, to form a carbonate salt of the metal in the         metal halide salt; and     -   reacting the hydrohalic acid with the carbonate salt, to form         CO₂ and the metal halide salt, wherein at least some of the         metal halide salt formed from the reacting of the hydrohalic         acid with the carbonate salt is recycled as at least some of the         metal halide salt in the hydrolyzing of the metal halide salt to         form the hydrohalic acid and the hydroxide salt.

Aspect 64 provides a method of regenerating a used hydroxide-based CO₂-capture sorbent, the method comprising:

-   -   hydrolyzing CaCl₂ to form HCl and Ca(OH)₂;     -   reacting the used hydroxide-based CO₂-capture sorbent with the         Ca(OH)₂, to form CaCO₃; and     -   reacting the HCl with the CaCO₃, to form CO₂ and CaCl₂, wherein         at least some of the CaCl₂ formed from the reacting of the HCl         with the CaCO₃ is recycled as at least some of the CaCl₂ in the         hydrolyzing of the CaCl₂ to form the HCl and the Ca(OH)₂.

Aspect 65 provides a method of softening water, the method comprising:

-   -   hydrolyzing a metal halide salt to form a hydrohalic acid and a         hydroxide salt of the metal in the metal halide salt, the metal         comprising an alkaline earth metal or an alkali metal;     -   reacting a bicarbonate salt from a water source with the         hydroxide salt, to form a carbonate salt of the metal in the         metal halide salt; and     -   reacting the hydrohalic acid with the carbonate salt, to form         CO₂ and the metal halide salt, wherein at least some of the         metal halide salt formed from the reacting of the hydrohalic         acid with the carbonate salt is recycled as at least some of the         metal halide salt in the hydrolyzing of the metal halide salt to         form the hydrohalic acid and the hydroxide salt.

Aspect 66 provides a method of softening water, the method comprising:

-   -   hydrolyzing CaCl₂ to form HCl and Ca(OH)₂;     -   reacting Ca(HCO₃)₂ from a water source with the Ca(OH)₂, to form         CaCO₃; and     -   reacting the HCl with the CaCO₃, to form CO₂ and CaCl₂, wherein         at least some of the CaCl₂ formed from the reacting of the HCl         with the CaCO₃ is recycled as at least some of the CaCl₂ in the         hydrolyzing of the CaCl₂ to form the HCl and the Ca(OH)₂.

Aspect 67 provides the method of any one or any combination of Aspects 1-66 optionally configured such that all elements or options recited are available to use or select from. 

What is claimed is:
 1. A method of regenerating a used CO₂-capture sorbent, the method comprising: hydrolyzing a metal halide salt to form a hydrohalic acid and a hydroxide salt of the metal in the metal halide salt, the metal comprising an alkaline earth metal or an alkali metal; reacting the used CO₂-capture sorbent with the hydroxide salt, to form a carbonate salt of the metal in the metal halide salt; and reacting the hydrohalic acid with the carbonate salt, to form CO₂ and the metal halide salt, wherein at least some of the metal halide salt formed from the reacting of the hydrohalic acid with the carbonate salt is recycled as at least some of the metal halide salt in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt.
 2. The method of claim 1, wherein the used CO₂-capture sorbent is a used hydroxide-based, ammonia-based, and/or amine-based CO₂-capture sorbent.
 3. The method of claim 1, wherein the CO₂-capture sorbent is a used hydroxide-based CO₂-capture sorbent.
 4. The method of claim 1, wherein the used CO₂-capture sorbent is Ca(HCO₃)₂, Mg(HCO₃)₂, K₂CO₃, Na₂CO₃, or a combination thereof.
 5. The method of claim 1, wherein the reacting of the used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt is performed at a pressure of 0.01 MPa to 10 MPa.
 6. The method of claim 1, wherein the reacting of the used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt is performed at a pressure of about 0.05 MPa to 0.2 MPa.
 7. The method of claim 1, wherein the reacting of the used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt is performed at a temperature of room temperature to 350° C.
 8. The method of claim 1, wherein the reacting of the used CO₂-capture sorbent with the hydroxide salt to provide the metal carbonate salt is performed at a temperature of 50° C. to 150° C.
 9. The method of claim 1, further comprising contacting a CO₂-capture sorbent with CO₂ to form the used CO₂-capture sorbent.
 10. The method of claim 1, further comprising contacting Ca(OH)₂, Mg(OH)₂, KOH, and/or NaOH with CO₂ to form the used CO₂-capture sorbent.
 11. The method of claim 1, wherein the reacting of the used CO₂-capture sorbent with the hydroxide salt to form the metal carbonate salt also forms an unused CO₂-capture sorbent.
 12. The method of claim 11, wherein the unused CO₂-capture sorbent is Ca(OH)₂, Mg(OH)₂, KOH, and/or NaOH.
 13. The method of claim 11, wherein the unused CO₂-capture sorbent is KOH and/or NaOH.
 14. The method of claim 11, further comprising providing the unused CO₂-capture sorbent for CO₂ capture.
 15. The method of claim 1, wherein at least some of the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt to form the hydrohalic acid and the hydroxide salt is recycled as at least some of the hydroxide salt used in the reacting of the used CO₂-capture sorbent with the hydroxide salt.
 16. The method of claim 15, wherein the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt is 0.001 wt % to 100 wt % of the hydroxide salt used in the reacting of the used CO₂-capture sorbent with the hydroxide salt.
 17. The method of claim 15, wherein the hydroxide salt of the metal formed in the hydrolysis of the metal halide salt is 80 wt % to 100 wt % of the hydroxide salt used in the reacting of the used CO₂-capture sorbent with the hydroxide salt.
 18. The method of claim 1, wherein: the metal carbonate salt is CaCO₃, the metal halide salt is CaCl₂, the hydrohalic acid is HCl, and the hydroxide salt is Ca(OH)₂.
 19. The method of claim 1, wherein the hydrolyzing of the metal halide salt is performed at a pressure of 0.1 MPa to 9 MPa, and at a temperature of 300° C. to 500° C., and wherein the reacting of the hydrohalic acid with the metal carbonate salt is performed at a pressure of 0.1 MPa to 9 MPa, and at a temperature of room temperature to 500° C.
 20. The method of claim 1, wherein the metal halide salt formed from the reacting of the hydrohalic acid with the metal carbonate salt is 80 wt % to 100 wt % of the metal halide salt used in the hydrolyzing of the metal halide salt to form the hydrohalic acid and the hydroxide salt. 